Is This Permutation Formula an Integer Value?

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In summary, an integer quantity is a whole number, positive, negative, or zero, without any fractions or decimals. It is a subset of rational numbers, and unlike them, it does not include numbers after the decimal point. It can be negative, and it has many real-world applications, such as counting, measuring, and indexing. In science, it is used extensively to represent discrete values and in scientific notation to express large or small numbers.
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juantheron
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Prove by permutations or otherwise $\displaystyle \frac{\left(n!\right)!}{\left(n!\right)^{(n-1)!}}$, where $n\in \mathbb{N}$
 
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  • #2
Your question is not complete. What do you need to prove?
 
  • #3
This is not a new question. it is same as previous question with diffeent value

I think you mean it to be integer

this is same as previous solution with m= (n-1)! http://mathhelpboards.com/challenge-questions-puzzles-28/integer-quantity-12418.html
 

FAQ: Is This Permutation Formula an Integer Value?

What is an integer quantity?

An integer quantity is a mathematical concept that refers to a whole number, either positive, negative, or zero. It is a discrete value that does not include fractions or decimals.

How is an integer quantity different from a rational number?

An integer quantity is a subset of the rational numbers, which includes all integers as well as fractions and decimals. Unlike a rational number, an integer quantity does not include any numbers after the decimal point.

Can an integer quantity be negative?

Yes, an integer quantity can be negative. Negative integers are represented with a minus sign in front of the number, such as -5 or -100.

What are some real-world examples of integer quantities?

Integer quantities can be used to represent a variety of real-world situations, such as the number of people in a room, the temperature outside, or the amount of money in a bank account. They can also be used in counting, measuring, and indexing.

How are integer quantities used in science?

Integer quantities are used extensively in scientific experiments and calculations. They are often used to represent discrete values, such as the number of particles in a sample, the number of trials in an experiment, or the time intervals in a measurement. They are also used in scientific notation to express very large or very small numbers in a compact form.

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